After running 50 km a train has an engine fault and continues at three-fourths of its speed, arriving 35 minutes late. Had the fault occurred 24 km farther on, it would have been only 25 minutes late. What is the train's normal speed?

Question

Accepted Answer

48 km/h. Those 24 km run at reduced speed cost the extra 10 min: 24/0.75v-24/v=8/v=1/6 h → v=48 km/h. (36 km/h is the reduced speed.)

After running 50 km a train has an engine fault and continues at three-fourths of its speed, arriving 35 minutes late. Had the fault occurred 24 km farther on, it would have been only 25 minutes late. What is the train's normal speed?

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